Simon and Glen started jogging from the same point. Glen started jogging 6 minutes earlier than Simon. Simon's jogging speed was 350 m/min and Glen's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Simon to catch up with Glen?
- What distance would Glen have jogged when Simon caught up with him? Express your answer in meters.
|
Simon |
Glen |
Speed |
350 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Glen covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Simon covered more than Glen per min
= 350 - 200
= 150 m
Time that Simon needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that Glen would had jogged when Simon caught up with him
= 8 + 6
= 14 min
Distance that Glen would have jogged when Simon caught up with him
= 14 x 200
= 2800 m
Answer(s): (a) 8 min; (b) 2800 m